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In mathematics, the spectral radius of a square matrix or a bounded linear operator is the supremum among the absolute values of the elements in its spectrum.

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Can we calculate the spectral radius of the universal cover for specific graphs?

For the complete graph minus an edge $K_n-e$, the spectral radius is the largest zero of \begin{align*}&x^{14}+(30-10 n) x^{12}+(2 n^{3}+21 n^{2}-202 n +357) x^{10}\\ &+(-10 n^{4}+26 n^{3}+456 n^{2}-2 …
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